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Energy-dependent harmonic oscillator in noncommutative space

Département de Biologie Appliquée, Faculté des Sciences de la Nature et de la Vie, Université Constantine 1, Constantine, Algeria

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M. Merad

Laboratoire (L.S.D.C), Faculté des Sciences Exactes, Université de Oum El Bouaghi, Oum El Bouaghi 04000, Algeria

E-mail Address: meradm@gmail.com

Corresponding author

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, and

T. Birkandan

Department of Physics, Istanbul Technical University, Istanbul 34469, Turkey

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https://doi.org/10.1142/S0217732317501061Cited by:8 (Source: Crossref)

Abstract

In noncommutative quantum mechanics, the energy-dependent harmonic oscillator problem is studied by solving the Schrödinger equation in polar coordinates. The presence of the noncommutativity in space coordinates and the dependence on energy for the potential yield energy-dependent mass and potential. The correction of normalization condition is calculated and the parameter-dependences of the results are studied graphically.

Keywords:

PACS: 03.65.Ge, 03.65.Pm, 03.65.Ca, 03.65.Db

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